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Finding the Fourth Proportional to 41,591, 62,386.98 and 12,009.16

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Solution

The fourth proportional to 41,591, 62,386.98 and 12,009.16 is: 18,013.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,591 : 62,386.98 = 12,009.16 : x
  2. Step 2: Convert to fraction form
    41,591/62,386.98 = 12,009.16/x
  3. Step 3: Cross multiply
    41,591x = 62,386.98 × 12,009.16
  4. Step 4: Simplify right side
    41,591x = 749,215,224.74
  5. Step 5: Solve for x
    x = 749,215,224.74/41,591
  6. Step 6: Final answer
    x = 18,013.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.